The ratio of the radii of two right circular cones of same height is 1:3. Find the ratio of their curved surface area when the height of each cone is 3 times the radius of the smaller cone. The answer is 5:9but how
Answers
Answered by
4
Answer:
Step-by-step explanation:
Solution :-
Let there be cone 1 and cone 2 respectively.
Let the r and R be the radii of the two right circular cones respectively.
Ratio of base radii = 3 : 5
Volume of cone = 1/3πr²h
⇒Volume of cone 1/Volume of cone 2
⇒ (1/3*πr²h)/(1/3πR²h)
⇒ (1/3*π*3²*h)/(1/3*π*5²*h)
= 3²/5²
= 9/25
= 9 : 25
So, the ratio of their volumes is 9 : 25
Answer.
Read more on Brainly.in - https://brainly.in/question/1792656#readmore
Answered by
12
Answer:
Ratio of curved surface area = √5:9 (verified) not (5:9)
Step-by-step explanation:
Attachments:
Similar questions